The SFS ff0 Josephson junctions (JJ) with the phase shift proportional to the magnetic moment of ferromagnetic layer determined by the parameter of spin-orbit interaction, demonstrate a number of unique features important for superconducting spintronics and modern information technology [1,2]. The phase shift ff0 allows one to manipulate the internal magnetic moment using the Josephson current and the reverse phenomenon which leads to the appearance of the DC component in the superconducting current [3-5]. We demonstrate an anomalous features of the ferromagnetic resonance with an increase of the Gilbert damping. We found that the resonance curves demonstrate features of Duffing oscillator, reflecting the nonlinear nature of Landau-Lifshitz-Gilbert equation. The damped precession of the magnetic moment is dynamically driven by the Josephson supercurrent, and the resonance behavior is given by a Duffing spring. The resonance methods for the determination of spin-orbit interaction in the ff0 junction are proposed.